Home
Class 12
MATHS
Evaluate int(pi//2)^(pi) e^(x) ((1-sin x...

Evaluate `int_(pi//2)^(pi) e^(x) ((1-sin x)/(1-cosx))dx`.

Text Solution

Verified by Experts

The correct Answer is:
`e^(pi//2)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -C|78 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integral: int_(pi/2)^pi e^x ((1-sinx)/(1-cosx))dx

Evaluate: int_(-pi//2)^(pi//2)1/(1+e^(sin x))dx

Evaluate int_(-pi//2)^(pi//2) sin^(7)x dx .

Evaluate int_(0)^(pi)x^(2){(1+sin x)^(-2) cos x}dx

Evaluate int_(0)^(pi/2) cosx dx

Evaluate : int_(-pi/2) ^(pi/2) sin^2x dx

OMEGA PUBLICATION-INTEGRALS-Important Questions from Miscellaneous Exercise
  1. Evaluate int(pi//2)^(pi) e^(x) ((1-sin x)/(1-cosx))dx.

    Text Solution

    |

  2. Evaluate : int(0)^(pi) (x tan x)/(sec x +tan x) dx.

    Text Solution

    |

  3. Evaluate int(0)^(pi//4) (sin x cos x)/(cos^(2)x +sin^(4)x)dx.

    Text Solution

    |

  4. Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...

    Text Solution

    |

  5. Evaluate the following integral int((e^(5logx)-e^(4logx)) dx)/((e^(3...

    Text Solution

    |

  6. Evaluate int (1)/(sqrt(sin^(3)x sin (x+alpha))dx.

    Text Solution

    |

  7. Show that : int(0)^(pi//2) (sqrt(tan x) +sqrt(cot x))dx=sqrt(2)pi.

    Text Solution

    |

  8. Evaluate : int(0)^(pi) (x dx)/(a^(2)cos^(2)x +b^(2)sin^(2)x).

    Text Solution

    |

  9. Evaluate int ((sin^(-1) sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^...

    Text Solution

    |

  10. Evaluate : int(0)^(1//sqrt(2)) (1)/(sqrt(1-x^(2)))dx

    Text Solution

    |

  11. Evaluate int(pi//2)^(pi) e^(x) ((1-sin x)/(1-cosx))dx.

    Text Solution

    |

  12. Evaluate : int(0)^(pi) (x tan x)/(sec x +tan x) dx.

    Text Solution

    |

  13. Evaluate int(0)^(pi//4) (sin x cos x)/(cos^(2)x +sin^(4)x)dx.

    Text Solution

    |

  14. Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...

    Text Solution

    |

  15. Evaluate int (e^(5log x)-e^(4log x))/(e^(3log x)-e^(2log x))dx.

    Text Solution

    |

  16. Evaluate int (1)/(sqrt(sin^(3)x sin (x+alpha))dx.

    Text Solution

    |

  17. Show that : int(0)^(pi//2) (sqrt(tan x) +sqrt(cot x))dx=sqrt(2)pi.

    Text Solution

    |

  18. Evaluate : int(0)^(pi) (x dx)/(a^(2)cos^(2)x +b^(2)sin^(2)x).

    Text Solution

    |

  19. Evaluate int ((sin^(-1) sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^...

    Text Solution

    |

  20. Evaluate : int(0)^(1//sqrt(2)) (1)/(sqrt(1-x^(2)))dx

    Text Solution

    |